4461531440 has 40 divisors (see below), whose sum is σ = 10626069888. Its totient is φ = 1741084160.

The previous prime is 4461531433. The next prime is 4461531449. The reversal of 4461531440 is 441351644.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4461531397 and 4461531406.

It is not an unprimeable number, because it can be changed into a prime (4461531449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676832 + ... + 683391.

Almost surely, 2^4461531440 is an apocalyptic number.

4461531440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4461531440 is an abundant number, since it is smaller than the sum of its proper divisors (6164538448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4461531440 is a wasteful number, since it uses less digits than its factorization.

4461531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360277 (or 1360271 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4461531440 is about 66794.6961966293. The cubic root of 4461531440 is about 1646.2456961948.

The spelling of 4461531440 in words is "four billion, four hundred sixty-one million, five hundred thirty-one thousand, four hundred forty".